Abstract
We give a review of recent advances in the theoretical description of ultrasmall tunnel junctions, i.e. weakly coupled normal metals and superconductors, at very low temperatures. The description, which is based on the microscopic theory, accounts for the quantum effects associated with Cooper pair tunncling, and for the disspation due to single electron tunneling (SET) or normal current flow. The former is described by the familiar periodic potential which, in the quantum regime, leads to energy bands, and to coherent Bloch oscillations in response to an external current. The stochastic SET, which may be blocked by the Coulomb interaction, yields voltage oscillations even in normal junctions, and also modifies the Bloch oscillations in Josephson junctions. The theory is extended to networks and granular superconducting films as well.
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References
A. J. Leggett, Jap. J. Appl. Phys. 26, Suppl. 26-3, 1986 (1987).
W. Schottky, Ann. d. Phys. 57, 541 (1918); 68, 157 (1922); W. Schottky and H. Rothe, in: Handbuch der Experimentalphysik XIII/2, ed. by W. Wien and F. Harms (Akademische Verlagsgesellschaft, Leipzig 1928), p. 1
P. W. Anderson, in: Lectures on the Many Body Problem, ed. by E. R. Caianiello (Academic Press, New York 1964), Vol. 2, p. 113.
V. Ambegaokar, U. Eckern, and G. Schön, Phys. Rev. Lett. 48, 1745 (1982); V. Ambegaokar, in: Percolation, Localization and Superconductivity, NATO Advanced Study Institute, Series B: Physics, Vol. 109, ed. by A. M. Goldman and S. A. Wolf (Plenum, New York 1984), p. 43; A. I. Larkin and Yu. N. Ovchinnikov, Phys. Rev. B28, 6281 (1983); U. Eckern, G. Schön, and V. Ambegaokar, Phys. Rev. B30, 6419 (1984).
A. O. Caldeira and A. J. Leggett, Phys. Rev. Lett. 46, 211 (1981); Ann. Phys. (N. Y.) 149, 374 (1983)
R. F. Voss and R. A. Webb, Phys. Rev. Lett. 47, 265 (1981); S. Washburn, R. A. Webb, R. F. Voss, and S. M. Faris, Phys. Rev. Lett. 54, 2712 (1985); D. B. Schwartz, B. Sen C. N. Archie, and J. E. Lukens, Phys. Rev. Lett. 55, 1547 (1985); M. H. Devoret, J. M. Martinis, and J. Clarke, Phys. Rev Lett. 55, 1908 (1985)
J. M. Martinis, M. H. Devoret, and J. Clarke, Phys. Rev. Lett. 55, 1543 (1985)
K. Yoshihiro, J. Kinoshita, K. Inagaki, C. Yamanouchi, S. Kobayashi and T. Karasawa, Jap. J. Appl. Phys. 26, 1379 (1987); K. Yoshihiro, Physica B152, 207
L. J. Geerligs, M. Peters, L. E. M. de Groot, A. Verbruggen, and J. E. Mooij, preprint
See also W. Zwerger, in: Festkörperprobleme/Advances in Solid State Physics, Vol. 29, ed. by U. Rößler (Vieweg, Braunschweig 1989), following paper
K. K. Likharev, G. Schön, and A. D. Zaikin, to be published
A. J. Dahm, A. Denenstein, D. N. Langenberg, W. H. Parker, D. Rogovin, and D. J. Scalapino, Phys. Rev. Lett. 22, 1461 (1966).
K. K. Likharev and A. B. Zorin, J. Low Temp Phys. 59, 347 (1985); D. V. Averin and K. K. Likharev, J. Low Temp. Phys. 62, 345 (1986); Zh. Eksp. Teor. Fiz. 90, 733 (1986) [Sov. Phys. JETP 63, 427 (1986)]
See e. g. L. J. Geerligs and J. E. Mooij, Physica, B152, 212 (1988).
F. Guinea and G. Schön, Europhys. Lett. 1, 585 (1986); G. Schön, in: SQUID'85 —Superconducting Quantum Interference Devices and their Applications, ed. by H. D. Hahlbolm and H. Lübbig (de Gruyter, Berlin, New York 1985), p. 251; F. Guinea and G. Schön, J. Low Temp. Phys. 69, 219 (1987)
V. Ambegaokar and U. Eckern, Z. Phys. B69, 399 (1987).
U. Geigenmüller and G. Schön, Physica B152, 186 (1988)
A. Schmid, Phys. Rev. Lett. 51, 1506 (1983); M. P. A. Fisher and W. Zwerger, Phys. Rev. B32, 6190 (1985); U. Eckern and F. Pelzer, Europhys. Lett. 3, 131 (1987); A. D. Zaikin and S. V. Panyukov, Phys. Lett. 120A, 306 (1987); Zh. Eksp. Teor. Fiz. 93, 918 (1987) [Sov. Phys. JETP 66, 517 (1987)]
B. G. Orr, H. M. Jaeger, A. M. Goldman, and C. G. Kuper, Phys. Rev. Lett. 56, 378 (1986); H. M. Jaeger, D. B. Haviland, A. M. Goldman, and B. G. Orr, Phys. Rev. B34, 4920 (1986); H. M. Jaeger, Ph. D. thesis, University of Minnesota 1987
L. Jacobs, J. V. José, M. A. Novotny, and A. M. Goldman Phys. Rev. B38, 4562 (1988); L. Jacobs and J. V. José, Physica B152, 148 (1988)
U. Eckern and A. Schmid, Phys. Rev. B39 (April 1989); S. R. Shenoy, to be published
S. Chakravarty, S. Kivelson, G. T. Zimanyi, and B. I. Halperin, Phys. Rev. B 35, 7256 (1987).
J. Kissner and U. Eckern, unpublished
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© 1989 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH
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Eckern, U., Schön, G. (1989). Charge transfer between weakly coupled normal metals and superconductors at low temperatures. In: Rössler, U. (eds) Festkörperprobleme 29. Advances in Solid State Physics, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108004
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DOI: https://doi.org/10.1007/BFb0108004
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